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Factor t^3-8. t3 − 8 t 3 - 8. Rewrite 8 8 as 23 2 3. t3 − 23 t 3 - 2 3. Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 + ab+b2) a 3 - b 3 = (a - b) (a 2 + a b + b 2) where a = t a = t and b = 2 b = 2. (t−2)(t2 +t⋅2+22) (t - 2) (t 2 + t ⋅ 2 + 2 2) Simplify.
Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions.
Khan Academy. Dividing by 2-digits: 9815÷65. Khan Academy. Related Concepts. How to Divide by a Two‐Digit Number. Dividing by a two-digit number is a lot like single-digit division, but it does take a little longer and some practice.
Free Factoring Solver helps you factor, expand or simplify polynomials. Find greatest common divisors, roots, partial fraction decompositions. Answers, graphs, additional properties.
To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b.
Step by Step Solution. Step 1 : Trying to factor as a Difference of Cubes: 1.1 Factoring: t3-8. Theory : A difference of two perfect cubes, a3 - b3 can be factored into. (a-b) • (a2 +ab +b2) Proof : (a-b)• (a2+ab+b2) = a3+a2b+ab2-ba2-b2a-b3 = a3+ (a2b-ba2)+ (ab2-b2a)-b3 = a3+0+0-b3 = a3-b3. Check : 8 is the cube of 2. Check : t3 is the cube of t1.
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